Given:
Endpoints of segment AB are A(- 18, 5) and B(- 4, 5).
Point Z is located exactly 1/8 of the distance from A to B.
To find:
The value of the x-coordinate of point Z.
Solution:
Point Z is located exactly 1/8 of the distance from A to B.
AZ:AB=1:8
AZ:ZB = AZ:(AB-AZ)= 1:(8-1) = 1:7
It means point Z divided segment AB in 1:7.
Using section formula, the x coordinate of point Z is
[tex]x-coordinate=\dfrac{mx_2+nx_1}{m+n}[/tex]
[tex]x-coordinate=\dfrac{1(-4)+7(-18)}{1+7}[/tex]
[tex]x-coordinate=\dfrac{-4-126}{8}[/tex]
[tex]x-coordinate=\dfrac{-130}{8}[/tex]
[tex]x-coordinate=-16.25[/tex]
Therefore, the required x-coordinate of point Z is -16.25.
24.5 is what I got. soo hope it helps!!
Answer:
What is the question?
Answer:
The question?
Step-by-step explanation:
strategies for rational numbers
Answer:
A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers.
Step-by-step explanation:
what are u trying to calculate?
Choose 3/8 written as a decimal
-3/4^-4 what is the answer. i need to know the answer.
Greetings! Hope this helps!
Answer
Fraction -(3/4)^-4
Decimal -3.160494
Have a good day!
_______________
A brainliest would help tons! :D
Answer:
-12.4
Step-by-step explanation:
3 - 8x = 8/5x written as a fraction
Answer:
X=5/16
Explaination:
simplify the equation ✓52-✓117+4✓13
Answer:
[tex]\sqrt[3]{13}[/tex]
I hope this helps!
Answer:
[tex]\boxed{\sqrt[3]{13} }[/tex]
Step-by-step explanation:
Solve for a.
7a + 18 = 102
a =
Please answer sincerely thank you
To prove two triangles are similar, we only need two pairs of congruent angles.
The first pair of congruent angles could be the two right angles AED and GFC as shown by the square markers.
As for the other pair of congruent angles, we could pick on angle DAE and angle FGC, which are corresponding angles. The corresponding angles are congruent because of the vertical parallel line segments BA and FG
Once you have two pairs of congruent angles, you have effectively wrapped up the similarity proof. The specific theorem you use is the AA (angle angle) similarity theorem.
f(x) = 2x – 2 g(x)= x² + 3x
Find (f.g) (2)
Answer: 18
Hey bud, just as a sidenote, I think you mean f(g(2)) for the question. If this was not what it meant, please take a screenshot of the question.
2^2 + 3*2 = 10
2*10 -2 = 18
1.) through: (3,0), parallel to y=2/3x+1
2.) through: (4,1), parallel to y=-1/2x+2
3.) through: (-1,-1), parallel to y=-2x-4
4.) through: (-4,-5), parallel to y=-2x-5
5.) through: (-4,3), parallel to y=1/2x-3
6.) through: (5,-5), parallel to y=-3/2x+2
Step-by-step explanation:
Hey there!
1.no Ans:
The equation of a st.line passing through point (3,0) is;
(y-0) = m1(x-3)........(i)
Another equation is,
y = 2/3x+1...........(ii)
Comparing the equation (ii) with y= mx+c. We get;
Slope (m2)= 2/3
As they are parallel lines, m1=m2.
So, putting value of m1 in equation (i).
[tex]y = \frac{2}{3} (x - 3)[/tex]
[tex]y = \frac{2}{3} x - 3 \times \frac{2}{3} [/tex]
Therefore the required equation is; y = 2/3x -2.
2.Ans:
The equation of a st.line passing through (4,1) is;
(y-1) = m1(x-4)...........(i)
y = -1/2x +2...............(ii)
From equation (ii)
y = -1/2x+2
Comparing the equation with y = mx+c
Slope (m2)= -1/2
As they are equal m1=m2= -1/2
Putting value of slope in equation (i)
[tex](y - 1) = \frac{ - 1}{2} (x + 2)[/tex]
[tex]2(y - 1) = - 1(x + 2)[/tex]
[tex]2y - 2 = - x - 2[/tex]
[tex]x + 2y = 0[/tex]
Therefore the required equation is; x+2y=0.
3. no. Ans:
The equation of a st.line passing through point (-1,-1) is ;
(y+1)= m1(x+1)..........(i)
y= -2x-4.....................(ii)
From equation (ii)
Comparing the equation with y = mx+c.
Slope(m2)= -2
As they are parallel lines, m1=m2 = -2.
Putting value of slope in equation (i)
[tex](y + 1) = - 2(x + 1)[/tex]
[tex]y + 1 = - 2x - 2[/tex]
[tex]2x + y + 3 = 0[/tex]
Therefore the required equation is 2x+y+3=0.
4.no Ans:
The equation of a st.line passing through (-4,-5) is;
(y+5) = m1(x+4)..........(i)
y = -2x-5...............(ii)
From equation (ii)
Comparing the equation with y = mx+c, we get;
Slope (m2)= -2
As they are parallel lines, m1=m2= -2
Putting value of slope in equation (i)
[tex](y + 5) = - 2(x + 4)[/tex]
[tex]y + 5 = - 2x - 8[/tex]
[tex]2x + y + 13 = 0[/tex]
Therefore the required equation is 2x+y+13=0.
5.no Ans:
The equation of a st.line passing through (-4,3) is:
(y-3)= m1(x+4).........(i)
y = 1/2x-3.......(ii)
From equation (ii)
Comparing the equation with y= mx+c.
Slope (m2) = 1/2
As they are parallel lines, m1=m2 = 1/2.
Putting value of slope in equation (i)
[tex](y - 3) = \frac{1}{2} (x + 4)[/tex]
[tex]2(y - 3) = x + 4[/tex]
[tex]2y - 6 = x + 4[/tex]
[tex]x - 2y + 10 = 0[/tex]
Therefore the required equation is; x-2y+10=0.
6.no. Ans;
The equation of a st.line passing through (5,-5) is;
(y+5)= m1(x-5)............(i)
y = -3/2x+2......(ii)
Comparing the equation (ii) with y = mx+c.
Slope(m2)= -3/2.
As they are parallel lines, m1=m2= -3/2.
Putting value of slope in equation (i)
[tex](y + 5) = \frac{ - 3}{2} (x - 5)[/tex]
[tex]2(y + 5) = - 3(x - 5)[/tex]
[tex]2y + 10 = - 3x + 15[/tex]
[tex]3x + 2y - 5 = 0[/tex]
Therefore the required equation is; 3x+2y-5=0.
Hope it helps...
How many grams are equal to 7 kilograms
Answer:
7 kilograms is 7000 grams
Step-by-step explanation:
Help me right now please!!!!❤️☺️☺️ I don’t know if it’s 19!!!
2. A real estate agent received 6.2% commission for a house that sold for $250,000. How much was the agent's commission?
The agent's commission was $155.
The agent's commission was $403.23.
The agent's commission was $15,500.
The agent's commission was $40,322.58.
Answer:
$15,500
Step-by-step explanation:
6.2% of 250,000 = (6.2/100)250,000
=15,500
f (x) =2x -4; find f (-4)
Answer:
f(-4) = -12
Step-by-step explanation:
[tex]f(x)=2x-4[/tex]
To calculate f(-4), we need to substitute x in our equation above with -4:
[tex]f(x)=2x-4\\f(-4) = 2*(-4) - 4\\f(-4) = -8-4 = -12[/tex]
Note that 2*(-4) = -8
Answer: f(-4) = -12
Answer:
[tex] \longmapsto \: f(x) = 2x - 4 \\ f( - 4) = 2( - 4) - 4 \\ f( - 4) = - 8 - 4 \\ \boxed{f( - 4) = - 12}✓[/tex]
12 is the right answer.The density of a certain material is such that it weighs 5 ounces per gallon of volume. Express this density in pounds per cubic meter. Round your answer to the nearest tenth.
Answer:
82.6 pounds per cubic meter
Step-by-step explanation:
W - 6= -4w - 11
I don’t get it
Answer:
Hope this helps any!
Step-by-step explanation:
What you do is you would add the -4w to w.
Then you would add 6 to -11
5w=-5
w=-1(I think)
Using Quadratic Equations to Solve Problems:
Ten times the square of a non-zero number is equal to forty times the number.
What is the number?
Answer:
4
Step-by-step explanation:
Let x represent the number. The problem statement tells us ...
10x² = 40x
x = 4 . . . . . . . divide by 10x
the number is 4. Hope that helps love!
True or False: If two figures are congruent then there is only one way to
transform the first figure to coincide with the second figure.
Answer:
True
Step-by-step explanation:
This is because, for the figures to be congruent, it means that, all the shape of one figure happens to be same with the shape of the other figure even though the size of the figures might be different.
On Tuesday, the Soto Salad restaurant served 6 cups of Italian salad dressing. If the restaurant cup of dressing with each salad, how many salads were ordered with Italian dressing? serves 22 24 26 28
Answer:
C. 26
Step-by-step explanation:
Can I direct you to this question? https://brainly.com/question/17618040
There seems to be typos in your question, but I'm going to assume you asked the same thing as the link mentioned above.
"On Tuesday, the Soto Salad restaurant served 6 1/2 cups of Italian salad dressing. If the restaurant serves 1/4 cup of dressing with each salad, how many salads were ordered with Italian dressing?"
To find the answer you will need to divide 6 1/2 by 1/4.
In order to do this, turn 6 1/2 to an improper fraction: 6 × 2 = 12. 12 + 1 = 13.
Now divide 13/2 by 1/4:
[tex]\frac{13}{2}[/tex] ÷ [tex]\frac{1}{4}[/tex] = [tex]\frac{13}{2}[/tex] × [tex]\frac{4}{1}[/tex] = [tex]\frac{52}{2}[/tex] = 26
A chef used 1/4 cup of milk for one recipe. The she used 2 cups of milk for each of 5 more recipes. How many cups of milk did the chef use?
Answer:
10 cups of milk!
Step-by-step explanation:
chef used = [tex]\frac{1}{4}[/tex] milk
she used = 2 cups
now,
[tex]\frac{1}{4}[/tex] cups = 2 cups
again,
milk used by chef= 2 × 5
= 10
If you borrow $491 for one year at an interest rate of 3% what will be the total you pay back?
163.6$
divide...................................................................................................................
What’s the slope of the line ? (4.5), (6,2)
Answer:
This is a negative slope.
Step-by-step explanation:
When plotting the numbers on a graph, the slope goes downhill from left to right.
Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
A store ships cans by weight. A small box can hold 3 to 5 pounds. A medium box can hold 5 to 8 pounds. A large box can hold 8 to 10 pounds. The weights of the cans are given below. Drag cans into each box to show what the box could contain. (Imagine Math Answer)
Answer:
Step-by-step explanation: Uhh I have no idea how I got this right because I guessed but
small: 3-5 pounds 0.25+1.2+2.7
Medium: 5-8 pounds 0.25+0.25+1.2+1.2+1.2+1.2
Large 8-10 pounds 0.25+1.2+1.2+1.2+2.7+2.7
Hope I helped this is my first time answering a question have a good day everyone
Help me plz
When given a graph, the vertical line test can be used to determine functionality. Describe the vertical line test and explain the reasons why a graph would, or would not, represent a function.
Answer: The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
Step-by-step explanation:
Answer:
The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
Step-by-step explanation:
branly pls :(
Twelve of 15 students completed their homework. What is the ratio of students who completed their homework to students who did not complete their homework?
Answer:
12:3
Step-by-step explanation:
because 12 did complete and 3 did not (15-12=3)
A cereal box manufacturer changes the size of the box to increase the amount of cereal it contains. The expressions 13 + 7.4n and 11 + 7.8n, where n is the number of smaller boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes are equal to the same amount of cereal in the larger box?
Answer:
Step-by-step explanation:
If you add those up with the n you will get 13+7.4n= 20n+ 11+7.8n=18.8= 7.4n+18.8n= 16.2n
Given the following formula, solve for y. W = x-y/2 - z
A.) Y= 2(w + z) - x
B.) y = x– (2w + z)
C.) Y = x – (2W + z)
D.) Y= 2w + 2 - z - x
Answer:
the answer is B. y=x-(2w+z)
Step-by-step explanation:
The solution to the given expression is y = x - 2(W + z).
What is an expression ?An expression is a mathematical expression formed by numbers and mathematical operations.There are many types of expressions like trigonometric expressions,Algebraic expressions, logarithmic expressions and many more.
According to the given question we have to solve for y for the given expression W = (x-y)/2 - z.
W = (x-y)/2 - z.
2W = x - y - 2z.
y = x - 2W - 2z.
y = x -2( W + z).
learn more about expressions here :
https://brainly.com/question/16584198
#SPJ2
i need help with number 19 in geometry asap.
[tex]\tt Step-by-step~explanation:[/tex]
Since we have to write an expression, it will not have an equal sign.
[tex]\tt Steps:[/tex]
LM is 3x + 5 and LN is 6x + 10. We can assume that M is the midpoint of LN because if you plug in several numbers for x (I'll do 0 and 1), we can see that LM is half the value of LN.
[tex]\tt 3(0)+5=5\\6(0)+10=10\\5~is~half~of~10,~so~that~means~MN~is~congruent~to~LM.[/tex]
[tex]\tt 3(1)+5=8\\6(1)+10=16\\8~is~half~of~16,~so~that~means~MN~is~congruent~to~LM.[/tex]
*
[tex]\large\boxed{\tt Our~final~answer:~MN=3x+5}[/tex]
*Congruent = Same shape and size
A: 2x - 3y = 6
B: 3x - 2y = -9
C:y=-x-5
D:y= {x2
Which lines are parallel?
A)
A and c
B)
B and C
B and D
D)
A and D
please answer!! it’s 12:08 am and i’m trying to get these two questions done
Answer:
21 and 14
Step-by-step explanation:
The relationship between x and y is proportional thus the equation is
y = kx ← k is the constant of proportion
To find k use the ordered pair y = 84 when x = 28 , then
84 = 28k ( divide both sides by 28 )
k = 3
y = 3x ← equation of proportion
When x = 7 , then
y = 3 × 7 = 21 ← value required in top table
When y = 42 , then
42 = 3x ( divide both sides by 3 )
x = 14 ← value required in lower table
